Book/Report FZJ-2016-06543

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png
Fracture criterion for brittle materials based on finite statistical cells

 ;  ;  ;

1986
Kernforschungsanlage Jülich GmbH Zentralbibliothek, Verlag Jülich

Jülich : Kernforschungsanlage Jülich GmbH Zentralbibliothek, Verlag, Spezielle Berichte der Kernforschungsanlage Jülich 359, 54 p. ()

Please use a persistent id in citations:

Report No.: Juel-Spez-0359

Abstract: An analytical consideration of the Weibull Statistical Analysis of brittle materials established the necessity of including one additional material constant for a more comprehensive description of the failure behaviour. The Weibull analysis is restricted to infinitesimal volume elements in consequence of the differential calculus applied. It was found that infinitesimally small elements are in conflict with the basic statistical assumption and that the differential calculus is not needed in fact since nowadays most of the stress analyses are based on finite element calculations, and these are most suitable for a subsequent statistical analysis of strength. The size of a finite statistical cell has been introduced as the third material parameter. It should represent the minimum volume containing all statistical features of the material such as distribution of pores, flaws and grains. The new approach also contains a unique treatment of failure under multiaxial stresses. The quantity responsible for failure under multiaxial stresses is introduced as a modified strain energy. Sixteen different tensile specimens including CT-specimens have been investigated experimentally and analyzed with the probabilistic fracture criterion. As a result it can be stated that the failure rates of all types of specimens made from three different grades of graphite are predictable. The accuracy of the.prediction is one standard deviation.


Contributing Institute(s):
  1. Publikationen vor 2000 (PRE-2000 ; Retrocat)
Research Program(s):
  1. 899 - ohne Topic (POF3-899) (POF3-899)

Database coverage:
OpenAccess
Click to display QR Code for this record

The record appears in these collections:
Document types > Reports > Reports
Document types > Books > Books
Workflow collections > Public records
Institute Collections > Retrocat
Publications database
Open Access

 Record created 2016-11-22, last modified 2021-01-29